Instructional Video3:35
Brian McLogan

Solve an equation with fractional powers by raising both side to the reciprocal power

12th - Higher Ed
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Instructional Video6:26
Brian McLogan

T Misconceptions Inverse of Functions

12th - Higher Ed
T Misconceptions Inverse of Functions
Instructional Video3:50
Brian McLogan

Simplifying the quotient of the cube root of two expressions by rationalizing the denomi

12th - Higher Ed
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Instructional Video2:08
Brian McLogan

Simplifying a radical expression by using prime factorization of the number

12th - Higher Ed
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Instructional Video1:58
Brian McLogan

Pre-Calculus - Using Properties of Logs to Simplify a Logarithmic Expression Without a Calculator

12th - Higher Ed
👉 Learn how to evaluate logarithms with radicals. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Instructional Video3:09
Brian McLogan

Pre-Calculus - Evaluating a Natural Logarithm when Given a Root

12th - Higher Ed
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Instructional Video3:48
Brian McLogan

Why do we have to include the abs of an even root

12th - Higher Ed
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Instructional Video2:09
Brian McLogan

Write the equation of the cube root function given transformations

12th - Higher Ed
Write the equation of the cube root function given transformations
Instructional Video1:42
Brian McLogan

Using prime factorization to simplify the cube root of an expression

12th - Higher Ed
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Instructional Video3:42
Brian McLogan

Learn how to divide two radical expressions without rationalizing the denominator

12th - Higher Ed
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Instructional Video4:17
Brian McLogan

Learn how to take the cube root of a variable exponent, cube root(x^7)

12th - Higher Ed
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Instructional Video3:46
Brian McLogan

How to solve an equation with fraction powers in your exponent

12th - Higher Ed
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Instructional Video1:44
Brian McLogan

Learn how to use the division property of radical expression to simplify

12th - Higher Ed
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Instructional Video0:59
Brian McLogan

Learn how to subtract two radical expressions together

12th - Higher Ed
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Instructional Video0:40
Brian McLogan

Simplify the quotient of the square root of two numbers, sqrt(60) / sqrt(10)

12th - Higher Ed
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Instructional Video6:58
Brian McLogan

How to divide the cube root of a rational expression by rationalizing the denominator

12th - Higher Ed
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Instructional Video2:57
Brian McLogan

How to simplify a exponent with a negative rational power

12th - Higher Ed
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Instructional Video2:41
Brian McLogan

Dividing two radical expressions together by dividing them first

12th - Higher Ed
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Instructional Video0:38
Brian McLogan

Learn how to rewrite an exponent with a fraction power as an radical expression

12th - Higher Ed
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Instructional Video2:36
Brian McLogan

Math tutorial for solving an equation with a fractional exponent

12th - Higher Ed
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Instructional Video0:55
Brian McLogan

Learn how to solve an equation with a rational power by cubing both sides

12th - Higher Ed
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Instructional Video2:14
Brian McLogan

Learn how to verify two functions if they are inverses of each other or not

12th - Higher Ed
👉 Learn how to show that two functions are inverses. The composition of two functions is using one function as the argument (input) of another function. In simple terms composition of two functions is putting one function inside another...
Instructional Video1:26
Brian McLogan

How to write the inverse of a power function

12th - Higher Ed
👉 Learn how to find the inverse of a cubic function. A cubic function is a function whose highest exponent in the variable(s) of the function is 3. The inverse of a function is a function that reverses the "effect" of the original...
Instructional Video2:12
Brian McLogan

How to take the cube root of a negative algebraic expression

12th - Higher Ed
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...